ON THE QUASI-CONFORMAL CURVATURE TENSOR OF AN ALMOST KENMOTSU MANIFOLD WITH NULLITY DISTRIBUTIONS

被引：2

作者：

Dey, Dibakar ^{[1
]}

Majhi, Pradip ^{[1
]}

机构：

[1] Univ Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kol 700019, India

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2018年 / 33卷 / 02期

关键词：

Almost Kenmotsu manifold; Einstein manifold; Weyl conformal curvature tensor; Quasi-conformal curvature tensor; Extended quasi-conformal curvature tensor;

D O I：

10.22190/FUMI1802255D

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The objective of the present paper is to characterize quasi-conformally flat and xi-quasi-conformally flat almost Kenmotsu manifolds with (k, mu)-nullity and (k, mu)'-nullity distributions, respectively. Also we characterize almost Kenmotsu manifolds with vanishing extended quasi-conformal curvature tensor and extended xi-quasi-conformally flat almost Kenmotsu manifolds such that the characteristic vector field xi belongs to the (k, mu)-nullity distribution.

引用

页码：255 / 268

页数：14

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